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Paper Abstract and Keywords
Presentation 2018-04-26 16:50
Interval Algorithm for Random Number Generation in the Case of Markov Coin Tossings
Yasutada Oohama (Univ. Electro-Communications) NLP2018-12
Abstract (in Japanese) (See Japanese page) 
(in English) In this paper we analyze the interval algorithm for random number
generation proposed by Han and Hoshi in the case of Markov coin tossings. Using the expression of real numbers on the interval [0,1), we first establish an explicit representation of the interval algorithm with the representation of real numbers on the interval [0,1) based one number systems. Next, using the expression of the interval algorithm, we give a rigorous analysis of the interval algorithm. We discuss the difference between the expected number of the coin tosses in the interval algorithm and their upper bound derived by Han and Hoshi and show that it can be characterized explicitly with the established expression of the
interval algorithm.
Keyword (in Japanese) (See Japanese page) 
(in English) Random number generation / interval algorithm / Markov coin tossings / number systems / performance analysis / / /  
Reference Info. IEICE Tech. Rep., vol. 118, no. 15, NLP2018-12, pp. 53-58, April 2018.
Paper # NLP2018-12 
Date of Issue 2018-04-19 (NLP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF NLP2018-12

Conference Information
Committee NLP  
Conference Date 2018-04-26 - 2018-04-27 
Place (in Japanese) (See Japanese page) 
Place (in English) Kumaoto Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Discrete Dynamical Systems, Sequences, etc 
Paper Information
Registration To NLP 
Conference Code 2018-04-NLP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Interval Algorithm for Random Number Generation in the Case of Markov Coin Tossings 
Sub Title (in English)  
Keyword(1) Random number generation  
Keyword(2) interval algorithm  
Keyword(3) Markov coin tossings  
Keyword(4) number systems  
Keyword(5) performance analysis  
1st Author's Name Yasutada Oohama  
1st Author's Affiliation The University of Electro-Communications (Univ. Electro-Communications)
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Date Time 2018-04-26 16:50:00 
Presentation Time 25 
Registration for NLP 
Paper # IEICE-NLP2018-12 
Volume (vol) IEICE-118 
Number (no) no.15 
Page pp.53-58 
#Pages IEICE-6 
Date of Issue IEICE-NLP-2018-04-19 

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